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2023010320 = 24550949681
BaseRepresentation
bin111100010010100…
…1011000000010000
312012222122120110011
41320211023000100
513120342312240
6532424044304
7101063206162
oct17045130020
95188576404
102023010320
11948a33661
12485603694
13263172a36
14152968932
15bc90a6ea
hex7894b010

2023010320 has 40 divisors (see below), whose sum is σ = 4712834520. Its totient is φ = 807598080.

The previous prime is 2023010303. The next prime is 2023010321. The reversal of 2023010320 is 230103202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 710542336 + 1312467984 = 26656^2 + 36228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2023010320.

It is not an unprimeable number, because it can be changed into a prime (2023010321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15880 + ... + 65560.

It is an arithmetic number, because the mean of its divisors is an integer number (117820863).

Almost surely, 22023010320 is an apocalyptic number.

2023010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023010320 is an abundant number, since it is smaller than the sum of its proper divisors (2689824200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023010320 is a wasteful number, since it uses less digits than its factorization.

2023010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50203 (or 50197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2023010320 is about 44977.8870112859. The cubic root of 2023010320 is about 1264.7345014005.

Adding to 2023010320 its reverse (230103202), we get a palindrome (2253113522).

The spelling of 2023010320 in words is "two billion, twenty-three million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 509 1018 2036 2545 4072 5090 8144 10180 20360 40720 49681 99362 198724 248405 397448 496810 794896 993620 1987240 3974480 25287629 50575258 101150516 126438145 202301032 252876290 404602064 505752580 1011505160 2023010320